How about new chest for Nether? It require only Crimson or Warped Planks to build and will replace all chest in Nether (in Bastions and Nether Fortress). So player can open his own overworld chests safely without provoking piglins (many players don`t like the fact that all nearby piglins become aggressive after he opens his own chest inside his own Nether house). Despite classic chest who stacks horizontally - Nether chest will stack vertically when you place two of them.
The first part of your idea reminds me of one of Gany's mods. It adds chests for all wood types, and I believe that should be a feature in vanilla. This goes for your idea of chests made of Crimson / Warped Planks as well.
However, the second part of the idea makes me scratch my head, as I didn't know player-owned chests can aggravate Piglins. Mojang would be better off assigning world generated chests as the trigger for Piglin aggression as opposed to making chests in general the trigger, and making Crimson / Warped Chests as a decorative feature.
And finally, I think vertically-stacked chests are cursed. It's a cool concept but doesn't work well for the current chest model. An example of it being done right is Better Storage's lockers.